P.S. -3 years ago 417

Javascript Question

I am trying to draw a least squares plane through a set of points in Three.js. I have a plane defined as follows:

`var plane = new THREE.Plane();`

plane.setFromNormalAndCoplanarPoint(normal, point).normalize();

My understanding is that I need to take that plane and use it to come up with a Geometry in order to create a mesh to add to the scene for display:

`var dispPlane = new THREE.Mesh(planeGeometry, planeMaterial);`

scene.add(dispPlane);

I've been trying to apply this answer to get the geometry. This is what I came up with:

`plane.setFromNormalAndCoplanarPoint(dir, centroid).normalize();`

planeGeometry.vertices.push(plane.normal);

planeGeometry.vertices.push(plane.orthoPoint(plane.normal));

planeGeometry.vertices.push(plane.orthoPoint(planeGeometry.vertices[1]));

planeGeometry.faces.push(new THREE.Face3(0, 1, 2));

planeGeometry.computeFaceNormals();

planeGeometry.computeVertexNormals();

But the plane is not displayed at all, and there are no errors to indicate where I may have gone wrong.

So my question is, how can I take my Math.Plane object and use that as a geometry for a mesh?

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Answer Source

This approach should create a mesh visualization of the plane. I'm not sure how applicable this would be towards the least-squares fitting however.

```
// Create plane
var dir = new THREE.Vector3(0,1,0);
var centroid = new THREE.Vector3(0,200,0);
var plane = new THREE.Plane();
plane.setFromNormalAndCoplanarPoint(dir, centroid).normalize();
// Create a basic rectangle geometry
var planeGeometry = new THREE.PlaneGeometry(100, 100);
// Align the geometry to the plane
var coplanarPoint = plane.coplanarPoint();
var focalPoint = new THREE.Vector3().copy(coplanarPoint).add(plane.normal);
planeGeometry.lookAt(focalPoint);
planeGeometry.translate(coplanarPoint.x, coplanarPoint.y, coplanarPoint.z);
// Create mesh with the geometry
var planeMaterial = new THREE.MeshLambertMaterial({color: 0xffff00, side: THREE.DoubleSide});
var dispPlane = new THREE.Mesh(planeGeometry, planeMaterial);
scene.add(dispPlane);
```

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